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Temporal inactivation enhances robustness in an evolving system.

Fumiko Ogushi1,2, János Kertész3,4, Kimmo Kaski5,6

  • 1Kyoto University Institute for Advanced Study, Kyoto University, Yoshida Ushinomiya-cho, Sakyo-ku, Kyoto 606-8501, Japan.

Royal Society Open Science
|March 21, 2019
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Summary
This summary is machine-generated.

This study reveals that systems with longer inactivation periods (T) are more robust. Allowing elements to survive unfavorable conditions improves overall system resilience against new inclusions.

Keywords:
dormancyevolutionary dynamicsextinctionsnetwork modelsrobustness

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Area of Science:

  • Complex Systems Science
  • Network Dynamics
  • Statistical Physics

Background:

  • Evolving systems are characterized by the addition of new elements and interactions.
  • System robustness is crucial for stability, especially when facing external perturbations.

Purpose of the Study:

  • To investigate the robustness of an evolving system with successive element inclusions.
  • To analyze the phase diagram as a function of random interactions (m) and inactivation time limit (T).

Main Methods:

  • Numerical simulations of the dynamic model.
  • Analytical investigation of the system's behavior.
  • Phase diagram analysis based on m and T parameters.

Main Results:

  • Identification of both growing (robust) and non-growing (volatile) phases.
  • Larger inactivation time limits (T) significantly enhance system robustness.
  • Increased ability to reject 'falling-together' type attacks contributes to robustness.

Conclusions:

  • System robustness is improved by allowing elements to survive unfavorable conditions.
  • Dormant or minority states can enhance the resilience of the entire system.
  • The interplay between m and T dictates the system's evolutionary trajectory and stability.